

A001336


Number of nstep selfavoiding walks on f.c.c. lattice.
(Formerly M4867 N2082)


9



1, 12, 132, 1404, 14700, 152532, 1573716, 16172148, 165697044, 1693773924, 17281929564, 176064704412, 1791455071068, 18208650297396, 184907370618612, 1876240018679868
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OFFSET

0,2


REFERENCES

B. D. Hughes, Random Walks and Random Environments, Oxford 1995, vol. 1, p. 460.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).


LINKS

Table of n, a(n) for n=0..15.
M. E. Fisher and M. F. Sykes, Excludedvolume problem and the Ising model of ferromagnetism, Phys. Rev. 114 (1959), 4558.
B. D. Hughes, Random Walks and Random Environments, vol. 1, Oxford 1995, Tables and references for selfavoiding walks counts [Annotated scanned copy of several pages of a preprint or a draft of chapter 7 "The selfavoiding walk"]
J. L. Martin, M. F. Sykes and F. T. Hioe, Probability of initial ring closure for selfavoiding walks on the facecentered cubic and triangular lattices, J. Chem. Phys., 46 (1967), 34783481.
S. McKenzie, Selfavoiding walks on the facecentered cubic lattice, J. Phys. A 12 (1979), L267L270.
S. Redner, Distribution functions in the interior of polymer chains, J. Phys. A 13 (1980), 35253541, doi:10.1088/03054470/13/11/023.
M. F. Sykes, Some counting theorems in the theory of the Ising problem and the excluded volume problem, J. Math. Phys., 2 (1961), 5262.
Index entries for sequences related to f.c.c. lattice


CROSSREFS

Cf. A001411, A001412, A001334, A001666, A001337.
Sequence in context: A165150 A002921 A199941 * A118475 A190873 A097826
Adjacent sequences: A001333 A001334 A001335 * A001337 A001338 A001339


KEYWORD

nonn,walk,nice,more


AUTHOR

N. J. A. Sloane


EXTENSIONS

a(15) from Bert Dobbelaere, Jan 13 2019


STATUS

approved



